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125445045153040 = 24517891396774203
BaseRepresentation
bin11100100001011101110011…
…010110101110110100010000
3121110011102120212212101201221
4130201131303112232310100
5112420242423024344130
61122444354055334424
735265051106265164
oct3441356326566420
9543142525771657
10125445045153040
1136a74a43709278
12120a010b981414
1354cc5561bc582
1422d980323cca4
15e781a812c87a
hex7217735aed10

125445045153040 has 160 divisors (see below), whose sum is σ = 312312597143040. Its totient is φ = 46691764027392.

The previous prime is 125445045153031. The next prime is 125445045153047. The reversal of 125445045153040 is 40351540544521.

It is not an unprimeable number, because it can be changed into a prime (125445045153047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1690528579 + ... + 1690602781.

It is an arithmetic number, because the mean of its divisors is an integer number (1951953732144).

Almost surely, 2125445045153040 is an apocalyptic number.

125445045153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125445045153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156156298571520).

125445045153040 is an abundant number, since it is smaller than the sum of its proper divisors (186867551990000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125445045153040 is a wasteful number, since it uses less digits than its factorization.

125445045153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88289 (or 88283 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 43.

Adding to 125445045153040 its reverse (40351540544521), we get a palindrome (165796585697561).

The spelling of 125445045153040 in words is "one hundred twenty-five trillion, four hundred forty-five billion, forty-five million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 89 136 170 178 272 340 356 445 680 712 890 1360 1424 1513 1780 3026 3560 6052 7120 7565 12104 13967 15130 24208 27934 30260 55868 60520 69835 74203 111736 121040 139670 148406 223472 237439 279340 296812 371015 474878 558680 593624 742030 949756 1117360 1187195 1187248 1243063 1261451 1484060 1899512 2374390 2486126 2522902 2968120 3799024 4748780 4972252 5045804 5936240 6215315 6307255 6604067 9497560 9944504 10091608 12430630 12614510 13208134 18995120 19889008 20183216 21132071 24861260 25229020 26416268 33020335 42264142 49722520 50458040 52832536 66040670 84528284 99445040 100916080 105660355 105665072 112269139 132081340 169056568 211320710 224538278 264162680 338113136 422641420 449076556 528325360 561345695 845282840 898153112 1036393301 1122691390 1690565680 1796306224 2072786602 2245382780 4145573204 4490765560 5181966505 8291146408 8981531120 10363933010 16582292816 17618686117 20727866020 35237372234 41455732040 70474744468 82911464080 88093430585 92239003789 140949488936 176186861170 184478007578 281898977872 352373722340 368956015156 461195018945 704747444680 737912030312 922390037890 1409494889360 1475824060624 1568063064413 1844780075780 3136126128826 3689560151560 6272252257652 7379120303120 7840315322065 12544504515304 15680630644130 25089009030608 31361261288260 62722522576520 125445045153040